145800948125952 has 288 divisors, whose sum is σ = 492964075618560. Its totient is φ = 41639586693120.

The previous prime is 145800948125947. The next prime is 145800948125977. The reversal of 145800948125952 is 259521849008541.

145800948125952 is a `hidden beast` number, since 1 + 4 + 5 + 80 + 0 + 9 + 481 + 25 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 145800948125952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112623328 + ... + 113910560.

It is an arithmetic number, because the mean of its divisors is an integer number (1711680818120).

Almost surely, 2^{145800948125952} is an apocalyptic number.

145800948125952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145800948125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246482037809280).

145800948125952 is an abundant number, since it is smaller than the sum of its proper divisors (347163127492608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145800948125952 is a wasteful number, since it uses less digits than its factorization.

145800948125952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289606 (or 1289586 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 63.

The spelling of 145800948125952 in words is "one hundred forty-five trillion, eight hundred billion, nine hundred forty-eight million, one hundred twenty-five thousand, nine hundred fifty-two".